Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

The most famous quasi-probability distribution, the Wigner function, has played a pivotal role
in the development of a continuous-variable quantum theory that has clear analogues of …

For quantum systems with a finite dimensional Hilbert space of states, we show that the
complete incompatibility of two observables—a notion we introduce—is equivalent to the …

We consider a thermodynamic framework to quantify instrument incompatibility via a
resource theory subject to thermodynamic constraints. We use the minimal thermalization …

High-dimensional quantum entanglement can give rise to stronger forms of nonlocal
correlations compared to qubit systems, offering significant advantages for quantum …

Kirkwood discovered in 1933, and Dirac discovered in 1945, a representation of quantum
states that has undergone a renaissance recently. The Kirkwood–Dirac (KD) distribution has …

Sarcasm and sentiment embody intrinsic uncertainty of human cognition, making joint
detection of multi-modal sarcasm and sentiment a challenging task. In view of the …

Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

Measurement incompatibility describes two or more quantum measurements whose
expected joint outcome on a given system cannot be defined. This purely nonclassical …

A key ingredient in quantum resource theories is a notion of measure. Such as a measure
should have a number of fundamental properties, and desirably also a clear operational …